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Finding the Fourth Proportional to 36,866.77, 55,300.19 and 9,164.77

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Solution

The fourth proportional to 36,866.77, 55,300.19 and 9,164.77 is: 13,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,866.77 : 55,300.19 = 9,164.77 : x
  2. Step 2: Convert to fraction form
    36,866.77/55,300.19 = 9,164.77/x
  3. Step 3: Cross multiply
    36,866.77x = 55,300.19 × 9,164.77
  4. Step 4: Simplify right side
    36,866.77x = 506,813,522.31
  5. Step 5: Solve for x
    x = 506,813,522.31/36,866.77
  6. Step 6: Final answer
    x = 13,747.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.